Dynamics of a Tracer Particle Interacting with Excitations of a Bose-Einstein

Lampart, Jonas und Pickl, Peter (2022): Dynamics of a Tracer Particle Interacting with Excitations of a Bose-Einstein. In: Annales Henri Poincare, Bd. 23, Nr. 8: S. 2855-2876

Abstract

We consider the quantum dynamics of a large number N of interacting bosom coupled a tracer particle, i.e. a particle of another kind, on a torus. We assume that in the initial state the bosom essentially form a homogeneous Bose-Einstein condensate, with some excitations. With an appropriate mean-field scaling of the interactions, we prove that the effective dynamics for N -> infinity is generated by the Bogoliubov-Frohlich Hamiltonian, which couples the tracer particle linearly to the excitation field.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1424-0637
• Sprache: Englisch